413234505432314 has 32 divisors (see below), whose sum is σ = 624722691640320. Its totient is φ = 204999293272000.

The previous prime is 413234505432271. The next prime is 413234505432317.

413234505432314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413234505432317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6997896089 + ... + 6997955139.

It is an arithmetic number, because the mean of its divisors is an integer number (19522584113760).

Almost surely, 2^{413234505432314} is an apocalyptic number.

413234505432314 is a deficient number, since it is larger than the sum of its proper divisors (211488186208006).

413234505432314 is a wasteful number, since it uses less digits than its factorization.

413234505432314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106726.

The product of its (nonzero) digits is 2073600, while the sum is 44.

It can be divided in two parts, 41323450 and 5432314, that added together give a palindrome (46755764).

The spelling of 413234505432314 in words is "four hundred thirteen trillion, two hundred thirty-four billion, five hundred five million, four hundred thirty-two thousand, three hundred fourteen".